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Finding the Fourth Proportional to 163.29, 243.97 and 121.42

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Solution

The fourth proportional to 163.29, 243.97 and 121.42 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 243.97 = 121.42 : x
  2. Step 2: Convert to fraction form
    163.29/243.97 = 121.42/x
  3. Step 3: Cross multiply
    163.29x = 243.97 × 121.42
  4. Step 4: Simplify right side
    163.29x = 29,622.84
  5. Step 5: Solve for x
    x = 29,622.84/163.29
  6. Step 6: Final answer
    x = 181.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.